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Finding the Fourth Proportional to 12,157.51, 16,780.55 and 7,920.20

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Solution

The fourth proportional to 12,157.51, 16,780.55 and 7,920.20 is: 10,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.51 : 16,780.55 = 7,920.20 : x
  2. Step 2: Convert to fraction form
    12,157.51/16,780.55 = 7,920.20/x
  3. Step 3: Cross multiply
    12,157.51x = 16,780.55 × 7,920.20
  4. Step 4: Simplify right side
    12,157.51x = 132,905,312.11
  5. Step 5: Solve for x
    x = 132,905,312.11/12,157.51
  6. Step 6: Final answer
    x = 10,931.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.